Year. Small Steps Guidance and Examples. Block 4 Converting Units. Released April 2018

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1 Released April 2018 The sequence of small steps has been produced by White Rose Maths. White Rose Maths gives permission to schools and teachers to use the small steps in their own teaching in their own schools and classrooms. We kindly ask that any other organisations, companies and individuals who would like to reference our small steps wider kindly seek the relevant permission. Please contact for more information. Year 5 Small Steps Guidance and Examples Block 4 Converting Units

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3 Year 5 Summer Term Teaching Guidance Overview Small Steps NC Objectives Kilograms and kilometres Milligrams and millilitres Metric units Imperial units Converting units of time Timetables Convert between different units of metric measure [for example, km and m; cm and m; cm and mm; g and kg; l and ml] Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints. Solve problems involving converting between units of time.

4 Year 5 Summer Term Teaching Guidance Kilograms and Kilometres Notes and Guidance Children focus on the use of kilo in units of length and mass. They understand that kilo means thousand. They convert from metres to kilometres, grams to kilograms and vice versa. Children draw on their fraction knowledge to convert from fractions to decimals. They deepen their understanding by comparing measurements in different units. Mathematical Talk Can you complete the stem sentences? To convert kilometres to metres, by. To convert metres to kilometres, by. To convert grams to kilograms, by. To convert kilograms to grams, by. What does kilo mean? Varied Fluency Complete the conversions. 1,000 metres = 1 kilometre 1,000 grams = 1 kilogram 2,000 m = km m = 5 km 20,000 g = kg g = 15 kg 200 m = km 500 g = kg 2,200 g = kg m = 1.5 km Complete the missing information! kilogram = grams # km = metres!"!" 7 kg +! kg = g 12 km + km = 12,500 m % Compare the measurements using <, > or = 5 kg 4,500 g 12 kg 12,000 g 3.7 km 370 m 37,000 m 3.7 km

5 Year 5 Summer Term Kilograms and Kilometres Reasoning and Problem Solving Laura buys 3,500 grams of potatoes and 1,500 grams of carrots. She pays with a 5 note. How much change does she get? Laura receives 8 p change. Tiegan is converting measurements. She says: I have divided by 1,000 to convert the measurements. Which conversions could Tiegan have completed? 3 km 3,000 m Tiegan could have converted 3,000 metres to 3 kilometres or 5,500 grams to 5.5 kilograms. 3,000 m 3 km 5,500 g 5.5 kg 2.8 kg 2,800 g

6 Year 5 Summer Term Teaching Guidance Milligrams and Millilitres Notes and Guidance Children focus on the use of milli in units of length and mass.! They understand that milli means. They convert from Mathematical Talk!,""" metres to millimetres, litres to millilitres and vice versa. Children draw on their fraction knowledge to convert from fractions to decimals. They deepen their understanding by comparing measurements in different units. Can you complete the stem sentences? To convert millimetres to metres, by. To convert metres to millimetres, by. To convert millilitres to litres, by. To convert litres to millilitres, by. What does milli mean? Varied Fluency Complete the conversions. 1,000 mm = 1 m 1,000 ml = 1 l 5,000 mm = m ml = 3 l 50,000 mm = m ml = 30 l 500 mm = m 300 ml = l 5,500 mm = m ml = 0.3 l Complete the missing information! m = mm! m = mm! m = mm!,"""!""!" 3 l +! l = ml 2 l + ml = 2,500 ml % Compare the measurements using <, > or = 2 l 1,500 ml 60 l 6,000 ml 2.8 m 280 mm 3,700 m 3.7 mm

7 Year 5 Summer Term Kilograms and Kilometres Reasoning and Problem Solving Cola is sold in bottles and cans. Yasmin buys 5 cans and 3 bottles. She sells the cola in 100 ml glasses. She sells all the cola. How many glasses does she sell? Yasmin charges 50p per glass. How much profit does she make? Yasmin sells 54 glasses. Yasmin makes profit. Ribbon is sold in 200 mm pieces. Georgie buys 4 metres of ribbon. How many pieces does she buy? Ribbon costs 26 p per piece. There are 2 special offers on the ribbon. Five pieces for the price of four. Which is the best offer? Explain your answer. 1 metre of ribbon for only 1 Georgie buys 20 pieces of ribbon. 1 metre of ribbon for 1 is the best offer because buying five pieces (1 metre) for the price of four would cost 1.04

8 Year 5 Summer Term Teaching Guidance Metric Units Notes and Guidance Children convert between different units of length. They recap converting between millimetres and metres, and metres and kilometres as well as converting between millimetres and centimetres, and centimetres and metres. Children see that they need to divide by different multiples of 10 to convert between the different measurements. Mathematical Talk What do we multiply by to convert centimetres to millimetres? What do we divide by to convert millimetres to centimetres? What do we multiply by to convert metres to centimetres? What do we divide by to convert centimetres to metres? Which unit of measure would be best to measure: the height of a door frame, the length of a room, the width of a book? Varied Fluency Measure the height of the piles of books in centimetres. Find the difference between the tallest and shortest pile of books in millimetres. Line A is 5 centimetres long. Line B is 54 millimetres longer than line A. Draw line A and line B. Here are the heights of 4 people. Jim 194 cm Tess 175 cm Lui 180 cm Write the heights in metres. Can you write the heights in millimetres? Paul 205 cm

9 Year 5 Summer Term Metric Units Reasoning and Problem Solving A plank of wood is 5.8 metres long. There is 25 cm left. A 10 pence coin is 2 mm thick. The pile of coins is 2.6 centimetres tall. Two lengths are cut from the wood. 175 cm m How much of the wood is left? Daniel makes a pile of 10 pence coins worth 1.30 What is the height of the pile of coins in centimetres? Complete the conversion diagram. mm cm m Can you make a diagram to show the inverse of multiplying? ,000 Kim says; One metre is 100 times bigger than one centimetre. One centimetre is 10 times bigger than one millimetre. So, one metre is 110 times bigger than one millimetre, Is Kim correct? Explain your answer. Kim is incorrect. She has added the number of times bigger together rather than multiplying. One metre is 1,000 times bigger than one millimetre.

10 Year 5 Summer Term Teaching Guidance Imperial Units Notes and Guidance Children are introduced to imperial units of measure for the first time. They understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints. Children discuss when common imperial units are still used in everyday life. Mathematical Talk What do we still use inches to measure? What do we still use pounds to measure? What do we still use pints to measure? Why do you think we still use these imperial measures? What does approximate mean? Varied Fluency One inch is approximately 2.54 centimetres 1 inch 2.54 cm Use this information to complete the table. Imperial 10 inches 400 inches Metric 50.8 cm 5 m 8 cm 1 kilogram is approximately 2.2 pounds 1 kg 2.2 lbs Use this information to complete the conversions. 2 kg lbs 5 kg lbs kg 22 lbs 55 kg lbs There are 568 millilitres in a pint. How many millilitres are there in: 10 pints 5 pints 0.5 pints 2.5 pints

11 Year 5 Summer Term Imperial Units Reasoning and Problem Solving A milkman delivers milk, 4 times a week. On each delivery day, he delivers three pints of milk to the doctors surgery How many millilitres of milk does the surgery have delivered each week? MILK 12 pints is approximately 6,816 millilitres. Jeni has two children, Owen and Caitlin. Owen weighed 8.8 lbs when he was born. Caitlin weighed 3.5 kg when she was born. Who was heavier, Owen or Caitlin? Explain your answer. Children convert both measures to the same unit. Owen weighed 4 kg and Caitlin weighed 3.5 kg so Owen was heavier. Kate and Saira weigh 185 lbs. Saira and Lucy weigh 186 lbs. Kate and Lucy weigh 201 lbs. How much do Kate, Saira and Lucy weigh altogether? = 572 lbs = lbs 133 kg Convert your answer into kilograms.

12 Year 5 Summer Term Teaching Guidance Converting Units of Time Notes and Guidance Children convert between different units of time e.g. years to months, weeks to days, days to hours, hours to minutes, minutes to seconds and vice versa. They convert units of time where there is a remainder left e.g. 25 days = 3 weeks and 4 days. Mathematical Talk How many months / weeks / days are there in a year? How many hours / minutes / seconds are there in a day? Can I write 21 days in weeks? Can I write 25 days in weeks? Why/why not? What times tables support converting units of time? Varied Fluency Complete the conversions. 1 year = months years = 24 months years = 60 months 2.5 years = months 3 years 2 months = months years months = 75 months Complete the table. Days 42 days 100 days Weeks/ Weeks and Days 5 weeks and 5 days 10 weeks and 5 days 1 hour = 60 minutes 1 minute = 60 seconds Use this information to complete the conversions. 75 minutes = 1 and = 4 minutes 3 and 24 = 204 Is there more than one way to complete the last one?

13 Year 5 Summer Term Converting Units of Time Reasoning and Problem Solving Lucy s birthday is in March. Jason s birthday is in April. Lucy is 96 hours older than Jason. What dates could Lucy s and Jason s birthdays be? Lucy: 28th March, 29th March, 30th March, 31st March Jason: 1st April, 2nd April, 3rd April, 4th April Three children are running a race. Tim finishes the race in 3 minutes 5 seconds. Lila finishes the race in 192 seconds. Pip finishes the race in 2 minutes and 82 seconds. Tim: 3 min 5 s Lila: 3 min 12 s Pip: 3 min 22 s Tim finishes the race first. Children choose dates 4 days apart. Who finishes the race first?

14 Year 5 Summer Term Teaching Guidance Timetables Notes and Guidance Children use timetables to retrieve information. They convert between different units of time in order to solve problems using the timetables. Children create their own timetables based on start and end times. Mathematical Talk When do we use timetables in every day life? How do we know where the important information is on the timetable? 1 2 Varied Fluency Use the timetable to answer the questions. On the 06:35 bus, how long does it take to get from Shelf Roundabout to Bradford Interchange? Can you travel to Woodside on the 07:43 bus? If you needed to travel from Halifax Bus Station to Odsal and had to arrive by 08:20, which would be the best bus to catch? Explain your answer. There are five TV programmes on between 17:00 and 23:00. The News starts at 6pm and lasts for 45 minutes. Mindless is on for 1 hour and ends at 18:00. Junk Collectors is on for 75 minutes and starts straight after the news. Catch up is on for 300 seconds and starts at 20:00. The Thirsty Games is on for 175 minutes and ends at 23:00. Make a timetable for the evening TV.

15 Year 5 Summer Term Timetables Reasoning and Problem Solving Three trains travel from Halifax to Leeds on the same morning. The Express leaves Halifax 10 minutes after the All Stations train, but arrives at Leeds 10 minutes before it. The All Stations train takes 50 minutes to reach Leeds and arrives at 10:30. The Goods train leaves 20 minutes before the All Stations train and arrives at Leeds 20 minutes after the Express. What time does each train leave Halifax and what time does each train arrive at Leeds Station? All Stations train leaves Halifax at 9:40 and arrives in Leeds at 10:30 Express train leaves Halifax at 9:50 and arrives in Leeds at 10:20 Goods train leaves Halifax at 9:20 and arrives in Leeds at 10:40 Make a timetable of your school day. Calculate how many hours each week you spend on each subject. Can you convert this into minutes? Can you convert this into seconds? If this is an average week, how many hours a year do you spend on each subject? Can you convert the time into days? Answers will vary depending on the school day